Mathematical Gauge Theory
Yang–Mills equations, instantons, and moduli spaces of connections.
Mathematical Gauge Theory. Yang–Mills equations, instantons, and moduli spaces of connections.
Foundations and canonical references
The standard treatments of mathematical gauge theory approach the subject from complementary angles. Donaldson, The Geometry of Four-Manifolds (1990) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to.
Open methodological questions for mathematical gauge theory include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- textbook · primary · 1990The Geometry of Four-Manifoldsdonaldson-1990, kronheimer-1990
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